Civil Engineering Association

Energy Methods in Applied Mechanics by Henry L. Langhaar

The book has been planned for a two-semester course in advanced mechanics for graduate students. In addition, it may be used for independent study and for reference purposes. A_ sound course in advanced calculus, the rudiments of Gibb's vector theory, some knowledge of
advanced strength of materials, and the fundamentals of elasticity, theory are prerequisites. The student who has mastered these subjects will not find the mathematics too difficult.

Energy Methods in Applied Mechanics was developed from class notes used in a graduate course at the University of Illinois for about ten years. I have sustained an interest in energy principles of mechanics for more than twenty years through my research efforts, teaching activities, and employment as a structural research engineer. I am pleased to acknowledge as a
notable source of information the inspiring lectures on variational principles of mechanics by С Lanczos at Purdue University during 1940 and 1941.

Contents
CHAPTER 1. GENERAL CONCEPTS AND PRINCIPLES OF MECHANICS
CHAPTER 2. ELASTIC BEAMS AND FRAMES
CHAPTER 3. METHODS OF THE CALCULUS OF VARIATIONS
CHAPTER 4. DEFORMABLE BODIES
CHAPTER 5. THEORY OF PLATES AND SHELLS
CHAPTER 6. THEORY OF BUCKLING
CHAPTER 7. HAMILTON'S PRINCIPLE AND THE EQUATIONS OF LAGRANGE AND HAMILTON
CHAPTER 8. THEORY OF VIBRATIONS
APPENDIX ON QUADRATIC FORMS

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